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Finding the Fourth Proportional to 345.21, 517.87 and 114.05

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Solution

The fourth proportional to 345.21, 517.87 and 114.05 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 517.87 = 114.05 : x
  2. Step 2: Convert to fraction form
    345.21/517.87 = 114.05/x
  3. Step 3: Cross multiply
    345.21x = 517.87 × 114.05
  4. Step 4: Simplify right side
    345.21x = 59,064.08
  5. Step 5: Solve for x
    x = 59,064.08/345.21
  6. Step 6: Final answer
    x = 171.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.